📗 [1 points] Which representations of rotations might suffer from gimbal lock?

📗 [1 points] The six faces of a die is made with a bump map (or normal map), a displacement map, or only color (texture) map. Move the cube in the scene to figure out which face is created using which method.

📗 [1 points] Which types of maps can be used without UV values assigned to the vertices of the objects being drawn?

📗 [1 points] Given a sphere centered at \(\begin{bmatrix} 0 \\ 0 \\ 0 \end{bmatrix}\), the final position of the center of the sphere will be at 0, 0, 0 after the following sequence is executed:

sphere.translateX(??);
sphere.rotateY(??);
sphere.translateX(??);
sphere.rotateZ(??);
sphere.translateX(??);

📗 [1 points] Suppose an "enlarge" function is implemented to apply uniform scaling transformation (THREE does not have this, its scale function changes the object's scale directly and does not compose, however, HTML Canvas's scale does work this way). Given a sphere centered at \(\begin{bmatrix} 0 \\ 0 \\ 0 \end{bmatrix}\), the final position of the center of the sphere will be at 0, 0, 0 after the following sequence is executed:

sphere.translateX(??);
sphere.enlarge(??);
sphere.translateY(??);
sphere.enlarge(??);
sphere.translateZ(??);